Details

analyze6.5s (8.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5274	17182
0	16	16
1	16	16

Search

True	Other	False	Iter
0%	99.2%	0.8%	0
0%	99.2%	0.8%	1
0%	99.2%	0.8%	2
0%	99.2%	0.8%	3
0%	99.2%	0.8%	4
0%	99.2%	0.8%	5
0%	99.2%	0.8%	6
0%	99.2%	0.8%	7
0%	99.2%	0.8%	8
0%	99.2%	0.8%	9
0%	99.2%	0.8%	10
0%	99.2%	0.8%	11
0%	99.2%	0.8%	12
0%	99.2%	0.8%	13
0%	99.2%	0.8%	14

Compiler

Compiled 96 to 64 computations (33.3% saved)

sample856.0ms (1.1%)

Algorithm

1×

intervals

Results

511.0ms	1960×	body	128	invalid
69.0ms	256×	body	128	valid

Compiler

Compiled 191 to 143 computations (25.1% saved)

simplify58.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5169	142

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

24.0b

Counts

2 → 1

Compiler

Compiled 190 to 126 computations (33.7% saved)

localize68.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.0b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
8.2b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
8.4b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
9.7b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

rewrite485.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

23.8b

Rules

24×	`flip3--_binary64_14404` `flip--_binary64_14375`
20×	`add-sqr-sqrt_binary64_14422`
16×	`frac-times_binary64_14410`
12×	`pow1_binary64_14461` `add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436` `add-cube-cbrt_binary64_14435` `-un-lft-identity_binary64_14400` `associate-l_binary64_14341` `associate-r*_binary64_14340`
8×	`sub-neg_binary64_14393` `distribute-rgt-in_binary64_14350` `cancel-sign-sub-inv_binary64_14366` `distribute-lft-in_binary64_14349` `associate-l/_binary64_14343` `associate-r/_binary64_14342`
4×	`pow-prod-down_binary64_14471` `prod-exp_binary64_14449` `add-log-exp_binary64_14439` `cbrt-unprod_binary64_14433` `unswap-sqr_binary64_14368` `*-commutative_binary64_14331`

Counts

4 → 120

Calls

4 calls:

21.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
16.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
12.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
11.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))

Compiler

Compiled 13456 to 959 computations (92.9% saved)

series4.8s (6.4%)

Error

12.0b

Counts

4 → 192

Calls

4 calls:

1.1s	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
1.1s	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
1.1s	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
1.1s	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

Compiler

Compiled 49632 to 20177 computations (59.3% saved)

simplify156.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

312 → 312

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5010	10220

prune741.0ms (1%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	289	23	312
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	290	23	313

Error

12.2b

Counts

313 → 23

Compiler

Compiled 34937 to 2534 computations (92.7% saved)

localize77.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.4b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
10.6b	(cbrt.f64 (-.f64 (.f64 t j) (.f64 k y)))
10.6b	(cbrt.f64 (-.f64 (.f64 t j) (.f64 y k)))
10.6b	(cbrt.f64 (-.f64 (.f64 t j) (.f64 y k)))

rewrite248.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

12.2b

Rules

11×	`add-sqr-sqrt_binary64_14422`
9×	`add-cube-cbrt_binary64_14435` `flip3--_binary64_14404` `flip--_binary64_14375` `cbrt-prod_binary64_14431` `*-un-lft-identity_binary64_14400`
6×	`pow1_binary64_14461` `add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436` `cbrt-div_binary64_14432`
4×	`add-log-exp_binary64_14439` `frac-times_binary64_14410`
3×	`pow1/3_binary64_14482` `associate-l_binary64_14341` `associate-r_binary64_14340`
2×	`sub-neg_binary64_14393` `distribute-rgt-in_binary64_14350` `cancel-sign-sub-inv_binary64_14366` `distribute-lft-in_binary64_14349` `associate-l/_binary64_14343` `associate-r/_binary64_14342`
1×	`pow-prod-down_binary64_14471` `prod-exp_binary64_14449` `cbrt-unprod_binary64_14433` `unswap-sqr_binary64_14368` `*-commutative_binary64_14331`

Counts

4 → 69

Calls

4 calls:

18.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
11.0ms	(cbrt.f64 (-.f64 (.f64 t j) (.f64 y k)))
4.0ms	(cbrt.f64 (-.f64 (.f64 t j) (.f64 k y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 t j) (.f64 y k)))

Compiler

Compiled 8800 to 640 computations (92.7% saved)

series2.0s (2.7%)

Error

12.2b

Counts

4 → 84

Calls

4 calls:

1.1s	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
267.0ms	(cbrt.f64 (-.f64 (.f64 t j) (.f64 k y)))
259.0ms	(cbrt.f64 (-.f64 (.f64 t j) (.f64 y k)))
255.0ms	(cbrt.f64 (-.f64 (.f64 t j) (.f64 y k)))

Compiler

Compiled 27888 to 11885 computations (57.4% saved)

simplify95.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5683	3695

prune449.0ms (0.6%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	151	2	153
Fresh	1	21	22
Picked	1	0	1
Done	0	0	0
Total	153	23	176

Error

12.2b

Counts

176 → 23

Compiler

Compiled 20800 to 2382 computations (88.5% saved)

localize90.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.2b	(.f64 (-.f64 (.f64 y4 y1) (.f64 y5 y0)) (-.f64 (.f64 k y2) (*.f64 j y3)))
8.2b	(.f64 (-.f64 (.f64 y4 y1) (.f64 y5 y0)) (-.f64 (.f64 k y2) (*.f64 j y3)))
8.4b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
9.7b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

rewrite420.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

12.2b

Rules

24×	`flip3--_binary64_14404` `flip--_binary64_14375`
20×	`add-sqr-sqrt_binary64_14422`
16×	`frac-times_binary64_14410`
12×	`pow1_binary64_14461` `add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436` `add-cube-cbrt_binary64_14435` `-un-lft-identity_binary64_14400` `associate-l_binary64_14341` `associate-r*_binary64_14340`
8×	`sub-neg_binary64_14393` `distribute-rgt-in_binary64_14350` `cancel-sign-sub-inv_binary64_14366` `distribute-lft-in_binary64_14349` `associate-l/_binary64_14343` `associate-r/_binary64_14342`
4×	`pow-prod-down_binary64_14471` `prod-exp_binary64_14449` `add-log-exp_binary64_14439` `cbrt-unprod_binary64_14433` `unswap-sqr_binary64_14368` `*-commutative_binary64_14331`

Counts

4 → 120

Calls

4 calls:

17.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
10.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
10.0ms	(.f64 (-.f64 (.f64 y4 y1) (.f64 y5 y0)) (-.f64 (.f64 k y2) (*.f64 j y3)))
10.0ms	(.f64 (-.f64 (.f64 y4 y1) (.f64 y5 y0)) (-.f64 (.f64 k y2) (*.f64 j y3)))

Compiler

Compiled 17656 to 924 computations (94.8% saved)

series5.3s (7.1%)

Error

12.2b

Counts

4 → 192

Calls

4 calls:

1.2s	(.f64 (-.f64 (.f64 y4 y1) (.f64 y5 y0)) (-.f64 (.f64 k y2) (*.f64 j y3)))
1.2s	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
1.2s	(.f64 (-.f64 (.f64 y4 y1) (.f64 y5 y0)) (-.f64 (.f64 k y2) (*.f64 j y3)))
1.2s	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

Compiler

Compiled 66432 to 22175 computations (66.6% saved)

simplify167.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

312 → 312

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5103	10208

prune869.0ms (1.2%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	312	0	312
Fresh	0	22	22
Picked	0	1	1
Done	0	0	0
Total	312	23	335

Error

12.2b

Counts

335 → 23

Compiler

Compiled 45756 to 2422 computations (94.7% saved)

localize95.0ms (0.1%)

Local error

Found 4 expressions with local error:

10.6b	(cbrt.f64 (-.f64 (.f64 j t) (.f64 k y)))
10.6b	(cbrt.f64 (-.f64 (.f64 j t) (.f64 k y)))
10.6b	(cbrt.f64 (-.f64 (.f64 j t) (.f64 k y)))
10.6b	(cbrt.f64 (-.f64 (.f64 t j) (.f64 y k)))

rewrite209.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

12.2b

Rules

12×	`cbrt-prod_binary64_14431`
8×	`add-cube-cbrt_binary64_14435` `cbrt-div_binary64_14432` `add-sqr-sqrt_binary64_14422` `*-un-lft-identity_binary64_14400`
4×	`pow1/3_binary64_14482` `pow1_binary64_14461` `add-log-exp_binary64_14439` `add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436` `flip3--_binary64_14404` `flip--_binary64_14375`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 (.f64 j t) (.f64 k y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 j t) (.f64 k y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 j t) (.f64 k y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 t j) (.f64 y k)))

Compiler

Compiled 7528 to 551 computations (92.7% saved)

series1.4s (1.9%)

Error

12.2b

Counts

4 → 54

Calls

4 calls:

375.0ms	(cbrt.f64 (-.f64 (.f64 j t) (.f64 k y)))
332.0ms	(cbrt.f64 (-.f64 (.f64 j t) (.f64 k y)))
320.0ms	(cbrt.f64 (-.f64 (.f64 j t) (.f64 k y)))
237.0ms	(cbrt.f64 (-.f64 (.f64 t j) (.f64 y k)))

Compiler

Compiled 22553 to 10138 computations (55% saved)

simplify122.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5545	1706

prune312.0ms (0.4%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	21	21
Picked	0	1	1
Done	0	1	1
Total	106	23	129

Error

12.2b

Counts

129 → 23

Compiler

Compiled 14614 to 710 computations (95.1% saved)

regimes13.1s (17.5%)

Accuracy

Total 12.9b remaining (45%)

Threshold costs 0b (0%)

Compiler

Compiled 202199 to 123837 computations (38.8% saved)

bsearch2.8s (3.8%)

Steps

Iters	Range		Point
8	1.952444907470773e+136	5.183042082718316e+139	2.3566714618207404e+137
5	665527180.2026379	1360672929.2791443	1205512874.0312564
9	6.757813271237041e-235	7.994564200781024e-227	8.102366136004533e-234
6	-1.4472934768014528e-130	-2.370108452706942e-131	-9.975735096129856e-131
8	-0.004700380247487942	-1.8148494253402592e-05	-4.447041415389942e-05
6	-1.3930266059142708e+125	-1.8365656414483488e+124	-8.214285784508065e+124

Compiler

Compiled 1 to 16 computations (-1500% saved)

simplify203.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (194.0ms)

Iter	Nodes	Cost
0	3441	1096
1	3441	1096

end0.0ms (0%)

sample32.9s (44.1%)

Algorithm

1×

intervals

Results

16.5s	65095×	body	128	invalid
2.0s	8000×	body	128	valid

Compiler

Compiled 13417 to 7666 computations (42.9% saved)

Details

analyze6.5s (8.7%)

sample856.0ms (1.1%)

simplify58.0ms (0.1%)

prune6.0ms (0%)

localize68.0ms (0.1%)

rewrite485.0ms (0.7%)

series4.8s (6.4%)

simplify156.0ms (0.2%)

prune741.0ms (1%)

localize77.0ms (0.1%)

rewrite248.0ms (0.3%)

series2.0s (2.7%)

simplify95.0ms (0.1%)

prune449.0ms (0.6%)

localize90.0ms (0.1%)

rewrite420.0ms (0.6%)

series5.3s (7.1%)

simplify167.0ms (0.2%)

prune869.0ms (1.2%)

localize95.0ms (0.1%)

rewrite209.0ms (0.3%)

series1.4s (1.9%)

simplify122.0ms (0.2%)

prune312.0ms (0.4%)

regimes13.1s (17.5%)

bsearch2.8s (3.8%)

simplify203.0ms (0.3%)

end0.0ms (0%)

sample32.9s (44.1%)

Profiling